Question

Solve for x in the expression using the quadratic formula. 2x2+31x−4.9=0

Answer 1

`x=(-31\pm √(1000.2))/(4)`

Explanation:

Given quadratic equation,

`2x^2+31x-4.9=0`

Since, by the quadratic formula,

The solution of a quadratic equation
`ax^2+bx+c=0` is,

`x=(-b\pm √(b^2-4ac))/(2a)`

Here, a = 2, b = 31, c = -4.9,

Thus, by the quadratic formula,

`x=(-31\pm √(31^2-4* 2* -4.9))/(2* 2)`

`=(-31\pm √(961+39.2))/(4)`

`=(-31\pm √(1000.2))/(4)`

`\implies x = (-31+√(1000.2))/(4)\text{ or }x=(-31- √(1000.2))/(4)`